Q2 - HWK 6 - Review Quadratic Vertex Form

Front

What is the vertex form of a quadratic equation?

Back

The vertex form of a quadratic equation is given by y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

What does the 'a' value in the vertex form indicate?

Back

The 'a' value determines the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

How do you find the vertex of a parabola given in vertex form?

Back

The vertex can be found directly from the vertex form y = a(x - h)² + k as the point (h, k).

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that passes through the vertex of the parabola, given by the equation x = h.

Front

What is a y-intercept?

Back

The y-intercept is the point where the parabola crosses the y-axis, found by setting x = 0 in the equation.

Front

How do you determine if a parabola has a maximum or minimum value?

Back

If 'a' is positive, the parabola has a minimum value at the vertex; if 'a' is negative, it has a maximum value.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the highest or lowest point of the parabola, depending on whether it opens up or down.

Front

What are the roots or x-intercepts of a parabola?

Back

The roots or x-intercepts are the points where the parabola crosses the x-axis, found by solving the equation y = 0.

Front

How can you find the y-intercept from the vertex form?

Back

To find the y-intercept from the vertex form, substitute x = 0 into the equation and solve for y.

Front

What does it mean for a parabola to open upwards?

Back

A parabola opens upwards when the 'a' value in the vertex form is positive, indicating that the vertex is the minimum point.